Emily and Wendy have some money. If Emily spends $2, she will have
25 as much money as Wendy. If Wendy spends $47, Emily will have
56 as much money as Wendy. How much money does Wendy have?
| |
Case 1 |
Case 2 |
| |
Emily |
Wendy |
Emily |
Wendy |
| Before |
2 u + $2 |
5 u |
5 p |
6 p + $47 |
| Change |
- $2 |
|
|
- $47 |
| After |
2 u |
5 u |
5 p |
6 p |
The amount that Emily has at first in Case 1 and Case 2 is the same.
2 u + 2 = 5 p
2 u = 5 p - 2 --- (1)
The amount that Wendy has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 47 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 10 --- (3)
(2)
x 210 u = 12 p + 94 --- (4)
(3) = (4)
25 p - 10 = 12 p + 94
25 p - 12 p = 10 + 94
13 p = 104
1 p = 104 ÷ 13 = 8
Amount that Wendy has
= 6 p + 47
= 6 x 8 + 47
= 48 + 47
= $95
Answer(s): $95
